Math, asked by vadishkashyap11, 2 months ago

if angle 1=120° find the measure of angle 2 angle 3 angle 4 angle 5 angle 6 angle 7 and angle 8​

Answers

Answered by Anonymous
34

\sf\small\blue{Solution:-}

l II m and p is their transversal and 1 = 120°

∠1 + ∠2 = 180 °(Straight line)

120° + ∠2 = 180° > ∠2 = 180° - 120° = 60°

∠2 = 60°

But ∠1 = ∠3 (Vertically opposite angles)

∠3 = ∠1 = 120°

Similarly ∠4 = ∠2

(Vertically opposite angles)

∠4 = 60°

∠5 = ∠1 (Corresponding angles)

∠5 = 120°

Similarly ∠6 = ∠2 (Corresponding angles)

∠6 = 60°

∠7 = ∠5 (Vertically opposite angles)

∠7 = 120°

And ∠8 = ∠6 (Vertically opposite angles)

∠8 = 60°

Hence ∠2 = 60°, ∠3 = 120°, ∠4 = 60°, ∠5 = 120°, ∠6 = 60°, ∠7 = 120° and ∠8 = 60°.

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